3y-6y+2=-8y+22-5y

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Solution for 3y-6y+2=-8y+22-5y equation:


Simplifying
3y + -6y + 2 = -8y + 22 + -5y

Reorder the terms:
2 + 3y + -6y = -8y + 22 + -5y

Combine like terms: 3y + -6y = -3y
2 + -3y = -8y + 22 + -5y

Reorder the terms:
2 + -3y = 22 + -8y + -5y

Combine like terms: -8y + -5y = -13y
2 + -3y = 22 + -13y

Solving
2 + -3y = 22 + -13y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '13y' to each side of the equation.
2 + -3y + 13y = 22 + -13y + 13y

Combine like terms: -3y + 13y = 10y
2 + 10y = 22 + -13y + 13y

Combine like terms: -13y + 13y = 0
2 + 10y = 22 + 0
2 + 10y = 22

Add '-2' to each side of the equation.
2 + -2 + 10y = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 10y = 22 + -2
10y = 22 + -2

Combine like terms: 22 + -2 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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